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Finding the Fourth Proportional to 24,978.78, 37,457.19 and 13,289.22

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Solution

The fourth proportional to 24,978.78, 37,457.19 and 13,289.22 is: 19,927.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.78 : 37,457.19 = 13,289.22 : x
  2. Step 2: Convert to fraction form
    24,978.78/37,457.19 = 13,289.22/x
  3. Step 3: Cross multiply
    24,978.78x = 37,457.19 × 13,289.22
  4. Step 4: Simplify right side
    24,978.78x = 497,776,838.49
  5. Step 5: Solve for x
    x = 497,776,838.49/24,978.78
  6. Step 6: Final answer
    x = 19,927.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.